74090880 has 192 divisors, whose sum is σ = 269708400. Its totient is φ = 18690048.

The previous prime is 74090867. The next prime is 74090881. The reversal of 74090880 is 8809047.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74090881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109102 + ... + 109778.

Almost surely, 2^74090880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134854200).

74090880 is an abundant number, since it is smaller than the sum of its proper divisors (195617520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74090880 is a wasteful number, since it uses less digits than its factorization.

74090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 74090880 is about 8607.6059389356. The cubic root of 74090880 is about 420.0054421064.

The spelling of 74090880 in words is "seventy-four million, ninety thousand, eight hundred eighty".